Five equal resistances are connected in ...

Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is :

A

`(3R)/2`

B

R

C

2R

D

`R/2`

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The correct Answer is:

B

It is balanced wheat stone bridge.

So, we know that,

`R_(1)R_(4) = R_(2)R_(3)`
`R_(1)/R_(2) = R_(3)/R_(4)`
`R_(eq) = (2R xx 2R)/(2R + 2R)`
`=(4R^(2))/(4R) rArr R`

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